Michael is interested in obtaining $30-$year fixed mortgage rates in Myrtle Beach, SC$.$ He obtained rate quotes from $6$

lenders, and the APR rates that were quoted to him are given in the following table.

$30-$Year Fixed Mortgage Rates

Lender APR $(\%)$

EverBank $3\mathrm{.}502$

AimLoan $3\mathrm{.}627$

Great Western $4\mathrm{.}032$

Greenlight $4\mathrm{.}212$

Flagstar $4\mathrm{.}192$

Quicken $4\mathrm{.}012$

Step $1$ of $3$: Compute the variance for this data. Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to four decimal places.